Fermion masses in the economical 3-3-1 model

Abstract

We show that, in frameworks of the economical 3-3-1 model, all fermions get masses. At the tree level, one up-quark and two down-quarks are massless, but the one-loop corrections give all quarks the consistent masses. This conclusion is in contradiction to the previous analysis in which, the third scalar triplet has been introduced. This result is based on the key properties of the model: First, there are three quite different scales of vacuum expectation values: $\om \sim {\cal O}(1) \mathrm{TeV}, v \approx 246 \mathrm{GeV}$ and $u\sim \mathcal{O}(1)\mathrm{GeV}$. Second, there exist two types of Yukawa couplings with different strengths: the lepton-number conserving couplings $h$'s and the lepton-number violating ones $s$'s satisfying the condition in which the second are much smaller than the first ones: $s\ll h$. With the acceptable set of parameters, numerical evaluation shows that in this model, masses of the exotic quarks also have different scales, namely, the $U$ exotic quark ($q_U=2/3$) gains mass $m_U\approx 700$ GeV, while the $D_\al$ exotic quarks ($q_{D_\al} = -1/3$) have masses in the TeV scale: $m_{D_\al} \in 10 ÷80$ TeV.

20 pages, 8 figures

References in corpus (37)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Evidence for oscillation of atmospheric neutrinos
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Solar 8B and hep Neutrino Measurements from 1258 Days of Super-Kamiokande Data
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• Measurements of the Solar Neutrino Flux from Super-Kamiokande's First 300 Days
• $SU(3)\otimes U(1)$ Model for Electroweak Interactions
• Tau Neutrinos Favored over Sterile Neutrinos in Atmospheric Muon Neutrino Oscillations
• Evidence for an oscillatory signature in atmospheric neutrino oscillation
• Measurement of the flux and zenith-angle distribution of upward through-going muons by Super-Kamiokande
• Electron Energy Spectra, Fluxes, and Day-Night Asymmetries of ${}^8$B Solar Neutrinos from the 391-Day Salt Phase SNO Data Set
• Leptons masses in an $SU(3{)}_L\otimes U(1{)}_N$ Gauge Model
• Neutral Currents and GIM Mechanism in SU(3)_L X U(1)_N Models for Electroweak Interactions
• The 331 model with right-handed neutrinos
• SU(3)_LxU(1)_N Model for Right-Handed Neutrino Neutral Currents
• Model for a Light Z' Boson
• Minimal Scalar Sector of 3-3-1 Models without Exotic Electric Charges
• Generating Neutrino Mass in the 331 Model
• SU(3)_C X SU(3)_L X U(1)_X model with two Higgs triplets
• The scalar sector of the $SU(3{)}_c\otimes SU(3{)}_L\otimes U(1{)}_X$ model
• Interesting radiative patterns of neutrino mass in an SU(3)_C X SU(3)_L X U(1)_X model with right-handed neutrinos
• Z and Z' decays with and without FCNC in 331 models
• The Scalar Sector of 3-3-1 Models
• Quark Family Discrimination and Flavour-Changing Neutral Currents in the SU(3)_C X SU(3)_L X U(1) Model with Right-Handed Neutrinos
• Higgs-gauge boson interactions in the economical 3-3-1 model
• Mass Bounds for Flavour Mixing Bileptons
• Family Dependence in SU(3)_C X SU(3)_L X U(1)_X models
• Neutrino Decay and Neutrinoless Double Beta Decay in a 3-3-1 Model
• The Higgs Sector of the Minimal 3 3 1 Model Revisited
• Study of the SU(3)_c X SU(3)_L X U(1)_X model with the minimal scalar sector
• Atomic parity violation in the economical 3-3-1 model
• Neutrinoless double beta decay with and without Majoron-like boson emission in a 3-3-1 model
• Comment on ``Majoron emitting neutrinoless double beta decay in the electroweak chiral gauge extensions''
• Majoron emitting neutrinoless double beta decay in the electroweak chiral gauge extensions

Cited by in corpus (43)

• 3-3-1-1 model for dark matter
• Neutrino masses in the economical 3-3-1 model
• The 3-3-1 model with inert scalar triplet
• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• Simple 3-3-1 model and implication for dark matter
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• The economical SU(3)_C X SU(3)_L X U(1)_X model
• Supersymmetric economical 3-3-1 model
• Supersymmetric reduced minimal 3-3-1 model
• Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing
• Quark mass and mixing in the 3-3-1 model with neutral leptons based on $D_4$ flavor symmetry
• Natural PQ symmetry in the 3-3-1 model with a minimal scalar sector
• Electroweak phase transition in the economical 3-3-1 model
• Bilepton effects on the WWV^* vertex in the 331 model with right-handed neutrinos via a SU_L(2)XU_Y(1) covariant quantization scheme
• The electroweak theory based on SU(4)_L X U(1)_X gauge group
• Axion dark matter in a $3-3-1$ model
• Electroweak phase transition in the reduced minimal 3-3-1 model
• Vacuum stability conditions of the economical 3-3-1 model from copositivity
• Electroweak sphalerons in the reduced minimal 3-3-1 model
• Universal Inverse seesaw mechanism as a source of the SM fermion mass hierarchy
• New constraints on the 3-3-1 model with right-handed neutrinos
• Constraints on economical 331 models from mixing of K, Bd and Bs neutral mesons
• Charged and Neutral Currents in a 3-3-1 Model with Right-Handed Neutrinos
• Higgs phenomenology of supersymmetric economical 3-3-1 model
• Canonical Seesaw Mechanism in Electro-Weak SU(4)L x U(1)Y Models
• Lepton flavor violating processes τ->μγ$,$τ-> 3μ$and$Z-> μτ$ in the Supersymmetric economical 3-3-1 model
• Charges and Mass Spectrum in the Pisano-Pleitez-Frampton 3-3-1 Gauge Model
• Sequentially loop supressed fermion masses from a unique discrete symmetry
• The economical 3-3-1 model revisited
• Sfermion masses in the supersymmetric economical 3-3-1 model
• Scalar Potential Without Cubic Term in 3-3-1 Models Without Exotic Electric Charges
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model
• Inflationary scenario in the supersymmetric economical 3-3-1 model
• Bilepton contributions to the neutrinoless double beta decay in the economical 3-3-1 model
• Stability of the Scalar Potential and Symmetry Breaking in the Economical 3-3-1 Model
• Investigation of Higgs boson anomalous FCNC interactions in the simple 3-3-1 model
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
• Higgs sector phenomenology in the 3-3-1 model with an axionlike particle
• Muon Magnetic Moment and Lepton Flavor Violation in the Economical 3-3-1 Model
• Is our vacuum global in a 331 model with three triplets?
• Probing Dark Matter in the Economical 3-3-1 Model
• Radiatively generated hierarchy of lepton and quark masses